Special Year in Algebraic Geometry

9402837 Katz该奖项支持俄克拉何马州立大学代数几何的特殊年份，重点是镜像对称，代数表面的唐纳森理论以及相关领域。这些是代数几何的领域，与数学和物理的不同领域的联系是明显的和新兴的。本学年将会有2-4位访客，除了三位永久的代数几何学家。此外，将有至少55名短期游客；他们中的许多人将参加两个为期三天的讲习班。这项研究是在代数几何领域进行的，代数几何是现代数学中最古老的部分之一，但在过去的10年里，它已经发展到解决了几个世纪以来一直存在的问题的程度。最初，它用最简单的方程，即多项式来处理平面上定义的图形。今天，该领域使用的方法不仅来自代数，而且来自分析和拓扑。此外，它已被证明在物理学、理论计算机科学、密码学、编码理论和机器人等多种领域都很有用。

9402837 Katz This award supports a special year in algebraic geometry at Oklahoma State, focusing on mirror symmetry, Donaldson theory for algebraic surfaces, and related areas. These are areas of algebraic geometry for which connections with different areas of mathematics and physics are apparent and emerging. There will be 2-4 visitors in residence for the academic year in addition to the three permanent algebraic geometers on the faculty. In addition, there will be atleast 55 short term visitors; many of these will be participants in two 3 day workshops. The research is in the field of algebraic geometry, one of the oldest parts of modern mathematics, but one which blossomed to the point where it has, in the past 10 years, solved problems that have stood for centuries. Orginally, it treated figures defined in the plane by the simplest of equations, namely polynomials. Today, the field uses methods not only from algebra, but also from analysis and topology. Moreover, it has proved itself useful in fields as diverse as physics, theoretical computer science, cryptography, coding theory and robotics.